10032561 has 48 divisors (see below), whose sum is σ = 18690048. Its totient is φ = 5032800.

The previous prime is 10032559. The next prime is 10032563. The reversal of 10032561 is 16523001.

10032561 is a `hidden beast` number, since 100 + 3 + 2 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (10032559) and next prime (10032563).

It is not a de Polignac number, because 10032561 - 2¹ = 10032559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10032563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21250 + ... + 21716.

It is an arithmetic number, because the mean of its divisors is an integer number (389376).

Almost surely, 2^10032561 is an apocalyptic number.

10032561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10032561 is a deficient number, since it is larger than the sum of its proper divisors (8657487).

10032561 is a wasteful number, since it uses less digits than its factorization.

10032561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10032561 is about 3167.4218222397. The cubic root of 10032561 is about 215.6770508242.

Adding to 10032561 its reverse (16523001), we get a palindrome (26555562).

The spelling of 10032561 in words is "ten million, thirty-two thousand, five hundred sixty-one".